Let X be a rs of size n form Geo(0), 0 € {00, 1}, where 0 < 8, < 01. Find an MP size- a test for the following hypotheses: Ho: 0 = 00 vs H1: 0 = 01
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- A medical researcher says that less than 76% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 500 adults in that country, 73% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. B. Less than 7676% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More…ARCH(1) model o? = w+ ae?_1. Define Y; = e? and u: = e? – o?. %3D Show that Y, can be written as a specific autoregressive process with innovation u.Find and classify the relative extrema of the following fonc tion: gla)=e*+ ex (when solving for critical points, recall e=-).
- 10. Let X1,..., X„ be an iid sample from f(x | 0) = 0x°-1, positive. Find the MLE and MOM estimators for 0. 0 < I < 1, where the parameter 0 isQuestion 1 iid Consider two samples 1, 2, fa with E(X) = µ and finite V(X) iid 91, 92,, yn fy with E(Y) = y and finite V (Y) = 2. Assuming that the two samples are independent, show that -y is consistent estimator for Hr - Hy. ... = o2, and4.11 For the ARMA(1,2) model Y₁ = 0.8Y₁ _ 1 + e + 0.7et − 1 + 0.6et – show that 2, (a) Pk = 0.8pk-1 for k>2. (b) p2 = 0.8p₁ +0.60²/10-
- A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8585% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…Consider the simple regression model Yi = B1 + B2r; + €i, E; n iid N(0, o²) with pdf for observation i is given by: 1 exp 1 (yi – B1 – Bori)²] V2no? o2 a. Given the iid sample (y1, r1),..., (YN, rN), derive the maximum likelihood estimator of Bo and B1. b. Derive the variance of the maximum likelihood estimator of Bo and B1. c. Show that maximizing the log L(B,02|y, r) corresponds to minimizing SSR.A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 84% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8686% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More than nothing%…
- Given that Z - N(O, 1) use tables to evaluate correct to three decimal places then P(1.24 < Z < 2.36)=Consider drawing samples of size n = 12 from U(0,12) Consider estimators for the population variance. One such estimator is the familiar s. When you draw such a sample, what is E(s') ? Another is the sample range r, where r= ymax - Ymin %3D When you draw such a sample, what is E(r) ? Hint: E(y max) = 144/13 using Theorem 3.10.1 Isr unbiased? Isr consistent?A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than enter your response here% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…